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Finding the Fourth Proportional to 83,234.86, 124,941.14 and 35,873.33

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Solution

The fourth proportional to 83,234.86, 124,941.14 and 35,873.33 is: 53,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234.86 : 124,941.14 = 35,873.33 : x
  2. Step 2: Convert to fraction form
    83,234.86/124,941.14 = 35,873.33/x
  3. Step 3: Cross multiply
    83,234.86x = 124,941.14 × 35,873.33
  4. Step 4: Simplify right side
    83,234.86x = 4,482,054,745.80
  5. Step 5: Solve for x
    x = 4,482,054,745.80/83,234.86
  6. Step 6: Final answer
    x = 53,848.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.